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The Economic Consequences of R=1: Towards a Workable Behavioural Epidemiological Model of Pandemics

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  • Gans, Joshua Samuel

    (University of Toronto)

Abstract
This paper reviews the literature on incorporating behavioural elements into epidemiological models of pandemics. While modelling behaviour by forward-looking rational agents can provide some insight into the time paths of pandemics, the non-stationary nature of Susceptible-Infected-Removed (SIR) models of viral spread makes characterisation of resulting equilibria difficult. Here I posit a shortcut that can be deployed to allow for a tractable equilibrium model of pandemics with intuitive comparative statics and also a clear prediction that effective reproduction numbers (that is, R) will tend towards 1 in equilibrium. This motivates taking R=1 as an equilibrium starting point for analyses of pandemics with behavioural agents. The implications of this for the analysis of widespread testing, tracing, isolation and mask-use is discussed.

Suggested Citation

  • Gans, Joshua Samuel, 2020. "The Economic Consequences of R=1: Towards a Workable Behavioural Epidemiological Model of Pandemics," SocArXiv yxdc5, Center for Open Science.
  • Handle: RePEc:osf:socarx:yxdc5
    DOI: 10.31219/osf.io/yxdc5
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    Cited by:

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    2. Goodkin-Gold, Matthew & Kremer, Michael & Snyder, Christopher M. & Williams, Heidi, 2022. "Optimal vaccine subsidies for endemic diseases," International Journal of Industrial Organization, Elsevier, vol. 84(C).
    3. Palatella, Luigi & Vanni, Fabio & Lambert, David, 2021. "A phenomenological estimate of the true scale of CoViD-19 from primary data," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    4. Thomas Hellmann & Veikko Thiele, 2022. "A theory of voluntary testing and self‐isolation in an ongoing pandemic," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 873-911, October.
    5. Andrew G. Atkeson & Karen Kopecky & Tao Zha, 2021. "Behavior and the Transmission of COVID-19," AEA Papers and Proceedings, American Economic Association, vol. 111, pages 356-360, May.
    6. Shibamoto, Masahiko & Hayaki, Shoka & Ogisu, Yoshitaka, 2022. "COVID-19 infection spread and human mobility," Journal of the Japanese and International Economies, Elsevier, vol. 64(C).
    7. Joshua S. Gans, 2022. "Test sensitivity for infection versus infectiousness of SARS‐CoV‐2," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 1880-1887, September.
    8. Łukasz Rachel, 2020. "An Analytical Model of Covid-19 Lockdowns," Discussion Papers 2029, Centre for Macroeconomics (CFM).
    9. Cherry, Todd L. & James, Alexander G. & Murphy, James, 2021. "The impact of public health messaging and personal experience on the acceptance of mask wearing during the COVID-19 pandemic," Journal of Economic Behavior & Organization, Elsevier, vol. 187(C), pages 415-430.
    10. Thomas Ash & Antonio M. Bento & Daniel Kaffine & Akhil Rao & Ana I. Bento, 2022. "Disease-economy trade-offs under alternative epidemic control strategies," Nature Communications, Nature, vol. 13(1), pages 1-14, December.
    11. Joshua S. Gans, 2023. "Vaccine Hesitancy, Passports, And The Demand For Vaccination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(2), pages 641-652, May.
    12. Kremer, Michael & Więcek, Witold & Ahuja, Amrita & Simoes Gomes Junior, Alexandre & Snyder, Christopher & Tabarrok, Alex & Tan, Brandon, 2021. "Could Vaccine Dose Stretching Reduce COVID-19 Deaths?," CEPR Discussion Papers 16324, C.E.P.R. Discussion Papers.
    13. Christopher Avery, 2021. "A Simple Model of Social Distancing and Vaccination," NBER Working Papers 29463, National Bureau of Economic Research, Inc.
    14. Bisin, Alberto & Moro, Andrea, 2022. "JUE insight: Learning epidemiology by doing: The empirical implications of a Spatial-SIR model with behavioral responses," Journal of Urban Economics, Elsevier, vol. 127(C).

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    JEL classification:

    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

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